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raketka [301]
3 years ago
12

D%29" id="TexFormula1" title="(6.52 \times {10}^{11} )+ (8.08 \times {10}^{11})" alt="(6.52 \times {10}^{11} )+ (8.08 \times {10}^{11})" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
andre [41]3 years ago
7 0

Answer:

1460000000000

Step-by-step explanation:


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What is the solution to the system? 1. 5 x -4 y -3 z =3, 2. x + y -z =0, 3. x = 3 y + 1? I haven't done this kind of math. I am
JulijaS [17]

(1) 5 x -4 y -3 z =3

(2) x + y -z =0

(3) x = 3 y + 1

We can use substitution, when we take the equation x = 3 y + 1, and substitute x in the equations (1) and (2) by 3y+1.

(1) 5 x -4 y -3 z =3

5(3y+1) -4 y -3 z =3 ---> 15y+5-4y-3z=3 -----> 11y - 3z = - 2 (4)

(2) x + y -z =0 -----> (2) (3y + 1) + y -z =0 -----> 4y - z+1 ----> z= 4y+1 (5)

Now, we can take the equation (5) and substitute the value of (z) into the equation (4).

(4) 11y - 3z = - 2

(5) z= 4y+1

(6) 11y - 3z = - 2 ---> 11y - 3(4y+1) = - 2 --->11y -12y -3 = -2 ---> -y= 1----> y= - 1

Take the equation (5) , and now we know y = - 1.

(5) z= 4y+1 =4*(-1)+1 = -4 +1= - 3, ----> z= - 3

Take the equation (3), and we know that y = - 1,

x = 3 y + 1 = 3*(-1) + 1 = -3 +1 = -2, x = -2.

So, x = - 2, y = - 1, z = - 3.


Check:

(1) 5 *(-2) -4*(-1) -3*(-3) =3 ---> -10+4+9=3---> 3=3

(2) (-2) + (-1) -(-3) =0 ---> -2-1+3=0 ----> 0=0

(3) (-2) = 3*(-1) + 1 ----> -2=-3+1 ---> -2 = -2

7 0
3 years ago
You start driving north for 35 miles turn right and drive east for another 12 miles at the end of driving what is your straight
Lynna [10]

Answer: The distance = 37 miles

Step-by-step explanation: The question can be tackled by using pythagorean theorem.

The hypothenus of the figure is the straight line distance from the starting point.

Please find the attached file for the solution

5 0
3 years ago
Read 2 more answers
23 students want pancakes and 25 students wants waffles .what is the ratio of the number of students who want pancakes to the nu
Schach [20]

Answer:

23:25

Step-by-step explanation:

Number of students who want pancakes: 23

Number of students who want waffle: 25

Pancakes:Waffles = 23:25

8 0
2 years ago
What is the answer to this equation 3-3x6+2=?
Afina-wow [57]
3x6 = 18
3 - 18 = -15
-15 + 2 = -13
8 0
3 years ago
Find the value of z in the triangle shown below.
suter [353]

Answer:

x = 69.4 degrees

Step-by-step explanation:

∠x = sin(a·sin(B)/b) = 1.21158 rad = 69.419°

5 0
3 years ago
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